Yes, but it is not recommended for inexperienced monitor newbies, and it will only prove that the chassis powers up with high voltage. It will not show whether the colors, brightness, or sync are good.
You'd need an isolation transformer for power, a nice non-conductive surface, and some way to secure the anode cup so it can't shock you, the chassis, or anything else that is metal. Make sure the neckboard and chassis aren't touching. You can hook up power and see if you get a buzz on the anode, and measure the B+, but that's about it.
This is helpful for repairing chassis on a workbench in a way you can test voltages, but always be careful of the anode cup. Also, some chassis will not power up fully if the yoke isn't connected, some (like the K7000) need the dag wire connected if the anode cup is in a tube, and some won't power up without a video signal applied.
But the G07, 4600, and 4900 are not one of those. It's a lot harder to do this with a 4600, btw, but it is possible...